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Finding the Fourth Proportional to 130.38, 180.08 and 83.75

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Solution

The fourth proportional to 130.38, 180.08 and 83.75 is: 115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.38 : 180.08 = 83.75 : x
  2. Step 2: Convert to fraction form
    130.38/180.08 = 83.75/x
  3. Step 3: Cross multiply
    130.38x = 180.08 × 83.75
  4. Step 4: Simplify right side
    130.38x = 15,080.38
  5. Step 5: Solve for x
    x = 15,080.38/130.38
  6. Step 6: Final answer
    x = 115.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.